Answer:
<h3><em>
0.19m/s</em></h3>
Explanation:
velocity is the change in displacement of a body with respect to time. Given the displacement d (m) of a block sliding along a straight line is given by the equation d = -0.65 t + 0.21 t², where t is the time in seconds, instantaneous velocity is expressed by differentiating the displacement with respect to time
Velocity = dd/dt
Velocity = -0.65 + 2(0.21)t²⁻¹
Velocity = -0.65 + 0.42t
The instantaneous velocity of the block when t = 2.0 s can be gotten by substituting t = 2.0s into the expression above:
Velocity = -0.65 + 0.42(2)
Velocity = -0.65 + 0.84
Velocity = 0.19
<em>Hence the instantaneous velocity of the block when t = 2.0 s is 0.19m/s</em>
Answer:

Explanation:
For this exercise let's use hooke's law
F = - k x
where x is the displacement from the equilibrium position.
x =
if we have several springs in series, the total displacement is the sum of the displacement for each spring, F the external force applied to the springs
x_ {total} = ∑ x_i
we substitute
x_ {total} = ∑ -F / ki
F / k_ {eq} = -F
1 / k_ {eq} = ∑ 1 / k_i
if all the springs are the same
k_i = k



Because of the opposing forces on the car like friction because there is no more acceleration
Answer:
The newly-formed government of the United States also became a model for French reformers. Ideas that were once just abstract thoughts – such as popular sovereignty, natural rights, constitutional checks and balances and separation of powers – were now part of an actual political system that worked
Answer:
v=5.86 m/s
Explanation:
Given that,
Length of the string, l = 0.8 m
Maximum tension tolerated by the string, F = 15 N
Mass of the ball, m = 0.35 kg
We need to find the maximum speed the ball can have at the top of the circle. The ball is moving under the action of the centripetal force. The length of the string will be the radius of the circular path. The centripetal force is given by the relation as follows :

v is the maximum speed

Hence, the maximum speed of the ball is 5.86 m/s.