A particle moving along the x – axis in simple harmonic motion starts from the equilibrium position, the origin, at time t = 0 and moves to the right. The position of the particle after time, t, is given by the following equation: 𝑥 = 2.0 sin 3𝜋𝑡 m Calculate:
i. The maximum velocity of the motion.
ii. The acceleration of the object after 2 seconds (i.e. at t = 2 s).
iii. The distance travelled by the particle from t = 0 s to t = 2 s.
A constant net force of 200 N is applied to a cart in frictionless surface from rest to a velocity of 4m/s in s. What is the mass of the cart!
Two spherical objects have masses of 2.5 x 107 kg and 2 x 104 kg. The gravitational attraction between them is 34N. How far apart are their centers?
In step 1 above, you calculated how much iridium was required to produce a global layer with an average abundance of iridium of 3 × 10-8 g/cm2 . We will assume that when the asteroid hit Earth it vaporized, blasting fine particles high into the atmosphere. All of the asteroid material, including iridium, was transported around the planet and settled on Earth’s surface within a few years following impact. The asteroid that caused the K-T extinction is thought to have the chemical composition of a carbonaceous chondrite of the C1 group (a C1 chondrite). Based on the information presented, determine the mass of the asteroid needed to supply that amount of iridium. Be sure to convert your answer into kilograms.
an ideal heat engine has an efficiency of 25% when its low temperature reserver is 25°C. it is desire to increase the efficiency to 35%. what change should be made in either (1) the temperature of the low reserver or (2) the temperature of the high reserver??
when a box of mass 4.5kg is given in an initial speed of 5m/s, it slides along horizontal flooor to a distance of 3m before coming to rest. what is the co-effiicient of the kinetic friction between the box and the floor?
Find the radius of a curve banked at an angle of 35O negotiated by a car at a velocity of 20.0 m/s.
The motor is used in lifting a 200 kg object at a constant speed of 3 cm/s. What power is being developed by the motor?
A 50-gram block rests on an inclined plane 15o with the horizontal. The coefficient of friction is 0.10. Find: a) the acceleration of the block, b) the work done against friction 2 minutes after starting from rest, and c) its average power.