Answer:
A) = 0.63 m
B)This is approximately 0.21
Explanation:
Part A)
Now if spring is connected to the block then again we can use energy conservation
so we will have
so we will have
so total distance moved upwards is
Part B
Now the incline has a coefficient of kinetic friction μk. If the block, attached to the spring, is observed to stop just as it reaches the spring's equilibrium position, what is the coefficient of friction μk
KE = 8.75 – 10.78 * sin 41
This is approximately 1.678 J. This is the kinetic energy at the equilibrium position. For the block to stop moving at this position, this must be equal to the work that is done by the friction force.
Ff = μ * 10.78 * cos 41
Work = 0.5 * μ * 10.71 * cos 41
μ * 10.78 * cos 41 = 8.75 – 10.78 * sin 41
μ = (10 – 8.82 * sin 41) ÷ 8.82 * cos 41
μ = 1.678/8.136
μ = 0.206
This is approximately 0.21
Answer:
Deceleration of the runner is -23.33
Given:
Initial velocity = 3.5
Final velocity = 0
Time = 0.15 s
To find:
Deceleration of runner = ?
Formula used:
According to first equation of motion,
v = u + at
Where, v = final velocity
u = initial velocity
a = deceleration
t = time
Solution:
According to first equation of motion,
v = u + at
Where, v = final velocity
u = initial velocity
a = deceleration
t = time
0 = 3.5 + a (0.15)
-3.5 = 0.15 (a)
a =
a = -23.33
Negative sign shows that it is deceleration.
Thus, deceleration of the runner is -23.33
Answer:
Explanation:
<u>Frictional Force
</u>
When the car is moving along the curve, it receives a force that tries to take it from the road. It's called centripetal force and the formula to compute it is:
The centripetal acceleration a_c is computed as
Where v is the tangent speed of the car and r is the radius of curvature. Replacing the formula into the first one
For the car to keep on the track, the friction must have the exact same value of the centripetal force and balance the forces. The friction force is computed as
The normal force N is equal to the weight of the car, thus
Equating both forces
Simplifying
Substituting the values
Answer:
9. 45 N North East
Unbalanced
Accelerate
10. 45 N right and 6 N down
Unbalanced
Accelerate
Explanation:
Hope this helps!