The gravitational force acting on the elevator is 4500N. Explanation: The parameters provided indicate that the force exerted by the elevator is F = 4500 N. The elevator does not accelerate. According to Newton's third law, the force exerted by the cable matches the gravitational force on the elevator, which represents its weight (W), and the elevator's motion stands as follows: F = W + (Mass of elevator × Acceleration of elevator). Therefore, F = W + (Mass of elevator × 0) = W, which leads us to F = 4500 N = W. The net force on the elevator can be expressed as F - W = 0, confirming that the gravitational force on the elevator equals W = 4500N.
Assuming that the mass of the empty wagon is "M," according to Newton's second law, we can derive the following relationships. Given that the empty wagon accelerates at 1.4 m/s², we proceed with this information. If a child weighing three times the mass of the wagon is on it, we can establish the relevant equations.
Given that, the starting speed of the cells is 0 since they were at rest. The cell's acceleration is specified, along with time t = 700 ns. We aim to calculate the peak speed achieved by the cells and the distance covered during the acceleration. Let v signify the final velocity. Let d represent the distance traversed. We'll apply the equations of motion to find the solution.
Answer:
The driveway measures 4.98 m
Explanation:
We aim to find the length of the driveway, thus utilizing the following equations
W=ΔK.E where W represents work and ΔK.E indicates the change in kinetic energy
Moreover,
also
W = F.d where F is the force and d denotes distance
Given that
= 4000 N indicating this frictional force
m = 2100 Kg
θ= 20.0°
V=3.8 m/s representing the car's speed at the bottom of the driveway
W=Δ K.E
= 15162 J
As the x component of gravity is
= mg sinФ
thus
= (2100)(9.8)sin(20.0°) results in
= 7038.77 N
And the Net force is
=
-
= 7038.77 - 4000 = 3038.77 N
So, the length of the driveway equals W / (
) = 15162/3038.77 = 4.98 m
Thus, this is the length of the driveway.
Result: 168N
The calculation shows 16 - 10 equals 6
and 6 divided by 10 equals 0.6
. Therefore, F equals 280 multiplied by 0.6 equals 168.
