1. A block of mass 3.0kg is pressed against a spring (k=3,100N/m) near the bottom of a board inclined at θ=28∘. When released, the block is projected up the incline and the spring expands by 14cm to its normal length. Using the law of conservation of energy, determine the maximum distance (d) traveled by the block up the incline. a. in the absence of friction. b. when the coefficient of kinetic friction between the block and the board is 0.20
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
1. A block of mass 3.0kg is pressed against a spring (k=3,100N/m) near the bottom of a board inclined at θ=28∘. When released, the block is projected up the incline and the spring expands by 14cm to its normal length. Using the law of conservation of energy, determine the maximum distance (d) traveled by the block up the incline.
a. in the absence of friction.
b. when the coefficient of kinetic friction between the block and the board is 0.20
2. A 14,000kg tractor traveling north at 21km/h turns west and travels at 26km/h. Calculate the change in the tractor's
a. kinetic energy.
b. linear momentum (magnitude and direction).
Step by step
Solved in 5 steps with 4 images
