Answer:
630.75 j
Explanation:
from the question we have the following
total mass (m) = 54.5 kg
initial speed (Vi) = 1.4 m/s
final speed (Vf) = 6.6 m/s
frictional force (FF) = 41 N
height of slope (h) = 2.1 m
length of slope (d) = 12.4 m
acceleration due to gravity (g) = 9.8 m/s^2
work done (wd) = ?
- we can calculate the work done by the boy in pushing the chair using the law of law of conservation of energy
wd + mgh = (0.5 mVf^2) - (0.5 mVi^2) + (FF x d)
wd = (0.5 mVf^2) - (0.5 mVi^2) + (FF x d) - (mgh)
where wd = work done
m = mass
h = height
g = acceleration due to gravity
FF = frictional force
d = distance
Vf and Vi = final and initial velocity
wd = (0.5 x 54.5 x 6.9^2) - (0.5 x 54.5 x 1.4^2) + (41 x 12.4) - (54.5 X 9.8 X 2.1)
wd = 630.75 j
Answer:
The ground exerts an equal force on the golf ball
Explanation:
Third's Newton Law states that:
"When an object A exerts a force on an object B, then object B exerts an equal and opposite force on object A".
In this problem, object A is the golf ball while object B is the ground, so we can say that:
- the golf ball exerts a force on the ground
- the ground exerts an equal and opposite force on the golf ball
1. Some stars are bigger than others, some are different colors or temperatures. It all really depends on the age of the star.
2. Four differences could be:
1) Outer planets are much farther away from the sun, so they get less sunlight than inner planets.
2) Also, the outer planets are all gas giants (excluding Pluto), while inner planets are all rocky planets.
3) Inner planets also have a much higher density than outer planets.
4) Outer planets also tend to have many more moons than inner planets (such as Jupiter, with 63 known moons).
3. The barrier that separates the inner from the outer planets is a ring of space rocks known as the Asteroid Belt.
A comet is a ball of ice that orbits a star in a wide elliptical orbit.
An asteroid is a large rocky body that orbits a star, and could be anywhere in size from 600 miles across to tiny dust particles.
A meteoroid is a small object floating through space freely (not necessarily bound in any orbit) that is usually made of a rocky or metallic material.
4. Day and night are caused by the earth's rotation on its axis. Night is relative to the observer, and occurs when the observer is on the side opposite that on which the sun is shining.
Hope that helped =)
For this problem, let's use the approach of dimensional analysis. This technique is done by cancelling out like units that appear both on the numerator and the denominator side. As a result, this technique will let you know that your final answer conforms to what parameter is asked. In this case, the final answer should be in kJ. We use the conversion: 1000 cal = 4.184 kJ The solution is as follows:
<span>6.95×10</span>⁵<span> cal * 4.184 kJ/1000 cal = 2,907.88 kJ</span>
Answer:
ω = √(2T / (mL))
Explanation:
(a) Draw a free body diagram of the mass. There are two tension forces, one pulling down and left, the other pulling down and right.
The x-components of the tension forces cancel each other out, so the net force is in the y direction:
∑F = -2T sin θ, where θ is the angle from the horizontal.
For small angles, sin θ ≈ tan θ.
∑F = -2T tan θ
∑F = -2T (Δy / L)
(b) For a spring, the restoring force is F = -kx, and the frequency is ω = √(k/m). (This is derived by solving a second order differential equation.)
In this case, k = 2T/L, so the frequency is:
ω = √((2T/L) / m)
ω = √(2T / (mL))
