A block of mass 5 kg starts to slide down a frictionless plane, inclined at 25 as shown in figure 2. The block moves from rest at the top. The length of the incline is 2.0 m. Find (a) the acceleration of the block, and (b) its speed when it reaches the bottom of the incline.

A 221-gram ball is thrown at a speed of 36.7 m/s from the top of a 39.8-m high cliff. Determine the impact speed of the ball when it strikes the ground. Assume negligible air resistance.

As shown in the figure below, a 2.25 kg block is released from rest on a ramp of height h. When the block is released, it slides without friction to the bottom of the ramp, and then continues across a surface that is frictionless except for a rough patch of width 15.0 cm that has a coefficient of kinetic friction ?k = 0.510. Find h (in m) such that the block's speed after crossing the rough patch is 3.60 m/s. (Enter a number.)?m

A raindrop of radius 2 mm falls from a height of 500 m above the ground. It falls with decreasing acceleration (due to viscous resistance of the air) until at half its original height, it attains its maximum (terminal) speed, and moves with uniform speed thereafter. What is the work done by the gravitational force on the drop in the first and second half of its journey? What is the work done by the resistive force in the entire journey if its speed on reaching the ground is 10 ms-1?

You drop a 1.40 kg book to a friend who stands on the ground at distance D = 12.0 m below. Your friend's outstretched hands are at distance d = 1.30 m above the ground (see the figure). (a) What is the speed of the book when it reaches her hands? (b) If we substituted a second book with twice the mass, what would its speed be when it reaches her hands? (c) If, instead, the book were thrown down with initial speed 5.90 m/s, what would be the answer to (a)? (a) Number i Units (b) Number i Units

You drop a 2.20 kg book to a friend who stands on the ground at distance D = 11.0 m below. Your friend's outstretched hands are at distance d = 1.40 m above the ground (see the figure). (a) What is the speed of the book when it reaches her hands? (b) If we substituted a second book with twice the mass, what would its speed be when it reaches her hands? (c) If, instead, the book were thrown down with initial speed 4.90 m/s, what would be the answer to (a)? (a) Number Units (b) Number Units (c) Number Units 出

A ball of mass m = 6 kg is dropped from a height (hi = 10 m) above the ground. Find the speed of the ball when it is at a height (hf = 4 m) above the ground.

Neglecting friction and air resistance, a car with an initial velocity of 43.1 km/h coasts up a hill and comes to stop at the hill's top. What must be the height of the hill (in meters)? Hint: you do not need the car's mass to solve this problem, but if interested to solve the problem using kinetic and potential energies you can use a mass of 2000kg for the car.

(a) How long (in s) will it take an 860 kg car with a useful power output of 42.0 hp (1 hp = 746 W) to reach a speed of 17.0 m/s, neglecting friction? (Assume the car starts from rest.) 3.966 (b) How long (in s) will this acceleration take if the car also climbs a 2.60 m-high hill in the process? 14.02 X s

A 1.5-kg box is released from rest on a frictionless surface that is sloped at θ = 35◦ above the horizontal.After sliding 1.0 m down the slope, the box transitions smoothly to a rough, horizontal surface, slides forsome distance, and then comes to a stop. If the coefcient of kinetic friction between the box and thehorizontal surface is 0.12, how far along the horizontal surface does the box travel?