A 45.6lbs ball with an initial velocity of 2.36 m/s is rolling on rough surface slope and continues to accelerate at .896 m/s², the slope has a kinetic friction of 285 N. How long it would take for the ball to stop?
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- You are playing a game and you push a cart to give it in. speed. The cart starts at the bottom (zero) of a ramp and after reaching the top of the ramp, the cart travels across a horizontal track w/ friction. The mass of the cart is 44 x 10^-3 kg. The ramp is 56 cm high. The length is 70 cm. What can you infer of the intial speed in (m/s)A 61.0-kg athlete leaps straight up into the air from a trampoline with an initial speed of 9.7 m/s. The goal of this problem is to find the maximum height she attains and her speed at half maximum height. (a) What are the.interacting.objects and how.do.they.interact? This answer has not been graded yet (b) Select the height at which the athlete's speed is 9.7 m/s as y = 0. What is her kinetic energy at this point? What is the gravitational potential energy associated with the athlete? (c) What is her kinetic energy at maximum height? What is the gravitational potential energy associated with the athlete? (d) Write a general equation for energy conservation in this case and solve for the maximum height. Substitute and obtain a numerical answer. m (e) Write the general equation for energy conservation and solve for the velocity at half the maximum height. Substitute and obtain a numerical answer. m/sA child is practicing for a BMX race. His speed remains constantas he goes counterclockwise around a level track withtwo nearly straight sections and two nearly semicircular sections,as shown in theaerial view of FigureCQ7.12. (a) What are thedirections of his velocityat points A, B, and C? Foreach point, choose one:north, south, east, west,or nonexistent. (b) Whatare the directions of hisacceleration at points A,B, and C?
- A hockey puck is hit by a stick and slides off at an initial speed of 0.5 m/s. Assuming that the ice is frictionless, what is the speed of the puck after 1s?A 4.00kg ball hits a wall moving at a speed of 9.0m/s at and angel of 45.0 degrees. If the wall does not move due to the collision at what speed and angle does the ball at the end of the interaction?A 0.1000-kg marble is fired by a boy from a slingshot at point A, at a height of 1.500 m from the ground. It hits a frictionless inclined concrete wall at point B, which is 30.0 m away from the boy. After hitting the wall, the marble rebounds with a velocity, VB. directed 140° from the horizontal as shown. The ball finally hits point C on the frictionless floor. The velocity of firing, VA, is 20.0 m/s, directed 45.0° with the horizontal. VA = 20 m/s 14.14 m/s 15.64 m/s 0 6.67 m/s 45° 1.5 m C! 7.47 m/s 1.692 m/s 2.02 m/s 1.316 m/s 30 m VB 60° Which of the following gives the closest value of the magnitude of the velocity of the ball BEFORE it strikes the concrete wall at point B? B = 140° Which of the following gives the closest value of the magnitude of the velocity of the ball AFTER it strikes the concrete wall at point B?
- A 0.1000-kg marble is fired by a boy from a slingshot at point A, at a height of 1.500 m from the ground. It hits a frictionless inclined concrete wall at point B, which is 30.0 m away from the boy. After hitting the wall, the marble rebounds with a velocity, VB. directed 140° from the horizontal as shown. The ball finally hits point C on the frictionless floor. The velocity of firing, VA, is 20.0 m/s, directed 45.0° with the horizontal. VA = 20 m/s 14.42 m/s 4.80 m/s 15.51 m/s 5.72 m/s [1.5 m C 9.37 m/s 5.72 m/s 10.98 m/s 15.51 m/s 30 m VB 60° B Which of the following gives the closest value of the magnitude of the velocity of the ball BEFORE it strikes the floor at point C? = 140° Which of the following gives the closest value of the magnitude of the velocity of the ball AFTER it strikes the floor at point C, if the coefficient of restitution between the ball and the floor is 0.650?Neglecting air resistance, how much would I have to raise the vertical height if I wanted to double the impact speed of a falling object?A Small pickup truck that has a caliper shell slowly coasts toward a red light with negligible friction. Two dogs in the back of the truck are moving and making various inelastic collisions with each other and the walls. What is the effect of the dogs on the motion of the center of mass of the system (truck plus entire load)? What is their effect on the motion of the truck?
- A 5kg rifle is attached to a horizontal cable such that it will freely move neglecting friction. If the rifle is made to fire a 50g bullet with a muzzle velocity of 300m/s, what will be the velocity of the rifle as it moves opposite the direction of the bullet?Basilisk lizards can run across the top of a water surface.With each step, a lizard first slaps its foot againstthe water and then pushes it down into the water rapidly enough toform an air cavity around the top of the foot. To avoid having topull the foot back up against water drag in order to complete thestep, the lizard withdraws the foot before water can flow into theair cavity. If the lizard is not to sink, the average upward impulseon the lizard during this full action of slap, downward push, andwithdrawal must match the downward impulse due to the gravitationalforce. Suppose the mass of a basilisk lizard is 90.0 g, the massof each foot is 3.00 g, the speed of a foot as it slaps the water is1.50 m/s, and the time for a single step is 0.600 s. (a) What is themagnitude of the impulse on the lizard during the slap? (Assumethis impulse is directly upward.) (b) During the 0.600 s duration ofa step, what is the downward impulse on the lizard due to the gravitationalforce? (c) Which…1. A ball having 500.0 g hits wall with velocity 10.0 m/s. Wall applies to the ball and it turns back with velocity 8.0 m/s. Find the 5000.0 N for time of ball-wall contact. 2. A projectile is launched at 40° to the horizonal with initial speed 15 m/s. Determine the maximum height reached. (assume g = 9.81 m/s²)