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Image text transcribed for accessibility: A crate of mass 11.0 kg is pulled up a rough incline with an initial speed of 1.60 m/s. The pulling force is 102 N parallel to the incline, which makes an angle of 20.6 degree with the horizontal The coefficient of kinetic friction is 0.400, and the crate is pulled 4.98 m. How much work is done by the gravitational force on the crate Determine the increase in internal energy of the care-incline system owing to friction. How much work is done by the 102-N force on the crate? What is the change in kinetic energy of the crate? What is the speed of the crate after being pulled 4.98 m? A 225-g block is pressed against a spring of force constant 1.45 kN/m until the block compresses the spring 10.0 cm. The spring rests at the bottom of a ramp inclined at 60.0 degree to the horizontal. Using energy considerations, determine how far up the incline the block moves from its initial position before it stops under the following conditions. if the ramp exerts no friction force on the block if the coefficient of kinetic friction is 0.380 A certain rain cloud at an altitude of 1.60 km contains 3.20 x io7 kg of water vapor. How long would it take for a 2.77-kW pump to raise the amount of water from Earth's surface to the cloud's position? A 5.80-kg particle moves along the x axis. Its position varies with time according to x = t + 5.0t3, where x is in meters and t is in seconds. Find the kinetic energy of the particle at any time t. (Use the following as necessary: t.) Find the magnitude of the acceleration of the particle and the force acting on it at time t. (Use the following as necessary: t.) Find the power being delivered to the particle at time t. (Use the following as necessary: t.) Find the work done on the partied in the interval f = 0 to t - 3.30 s. J A block of mass 1.9 kg is attached to a horizontal spring that has a force constant 800 N/m as shown in the Figure below. The spring is compressed 2.0 cm and is then released from rest. A constant friction force of 4.5 N retards the block's motion from the moment it is released. Using an energy approach, find the position x of the block at which its speed is a maximum. Explore the effect of an increased friction force of 11.5 N. At what position of the block does its maximum speed occur in this situation" After a 0.270-kg rubber ball is dropped from a height of 1.95 mf it bounces off a concrete floor and rebounds to a height of 1.20 m. Determine the magnitude and direction of the impulse delivered to the ball by the floor, magnitude direction Estimate the time the ball is in contact with the floor to be 0.04 seconds. Calculate the average force the floor exerts on the ball, magnitude N direction Select A neutron in a nuclear reactor makes an elastic, head-on collision with the nucleus of a carbon atom initially at rest. What fraction of the neutron's kinetic energy is transferred to the carbon nucleus? (The mass of the carbon nucleus is about 12.0 times the mass of the neutron.) The initial kinetic energy of the neutron is 2.10 times 10-13 J. Find its final kinetic energy and the kinetic energy of the carbon nucleus after the collision, neutron carbon nucleus A billiard ball moving at 5.80 m/s strikes a stationary ball of the same mass. After the collision, the first ball moves at 4.92 m/s at an angle of 32.0 degree with respect to the original line of motion. Assuming an elastic collision (and ignoring friction and rotational motion), find the struck ball's velocity after the collision, magnitude m/s direction degree (with respect to the original line of motion)

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