Answer:
5m/s to the right
Explanation:
Momentum = mass * velocity
Momentum before = momentum after
m₁u₁+m₂u₂ = m₁v₁+m₂v₂
3000*10 + 1000*0 = 3000*v₁ + 1000*15
30000-15000=3000v₁
15000=3000v₁
v₁=5m/s to the right (to the right because answer is positive)
Initially, mg = kx. K = mg/x = 700/0.5x10^-3 = 1400000N/m. From second condition, applying work-energy theorem, potential enery- elastic potential energy = change in kinetic energy. Now change in kinetic energy is 0 since initial and final velocities are 0m/s. Therefore, potential energy = elastic potential energy. mgh = (1/2) * k* x^2. x^2 = 2(mg)h/k = 2 x 700 x 1.3/ 1400000. x = 0.036m. Hope it's clear.
The motion of the ball is a composition of two motions:
- on the x (horizontal) axis, it is a uniform motion with initial velocity

- on the y (vertical) axis, it is a uniformly accelerated motion with acceleration
(a) to solve this part, we just analyze the motion on the vertical axis. The law of motion here is

By requiring y(t)=0, we find the time t at which the ball reaches the floor:


(b) for this part, we can analyze only the motion on the horizontal axis. To find how far the ball will land, we must calculate the distance covered on the x-axis, x(t), when the ball reaches the ground (so, after a time t=0.64 s):
Angular acceleration is simply the ratio of the Torque
over the rotation inertia, that is:
Angular acceleration = Torque / Rotational inertia
So substituting the values:
Angular acceleration = 2.4 N m / 4.0 kg m2
<span>Angular acceleration = 0.7 rad/s^2</span>
The answer is D. Products are formed from reactants by the breaking and forming of new bonds.