Answer:
<h2>
3.94 kg</h2>
Explanation:
Given,
Force ( f ) = 30 N
Acceleration(a) = 7.6 m/s
Now, Let's find the mass of the ball
Using the Newton's second law of motion:
We get:
plug the value
Use the commutative property to reorder the terms
Swap the sides of the equation
Divide both sides of the equation by 7.6
Calculate
Hope this helps..
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The minimum height h is 65m so that the car will not fall off the track at the top of the circular part of the loop.
<h3>What is mechanical energy?</h3>
Potential energy plus kinetic energy are combined to form mechanical energy. According to the principle of mechanical energy conservation, mechanical energy is constant in an isolated system when only conservative forces are acting on it. Potential energy increases when an object moves in the opposite direction of a conservative net force. Kinetic energy also changes as an object's speed, not velocity, changes. However, nonconservative forces, such as frictional forces, will always be present in real systems; however, if these forces are of minimal magnitude, mechanical energy changes little, making the idea of its conservation a reasonable approximation.
For completing the vertical circle the minimum speed at the bottom must be 
so conserving mechanical energy
⇒ h= 
h = 65m
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d.88 n
Explanation:
The force exerted by gravity on the mass is 88N;
Gravitational force is usually experienced by two bodies with masses.
This force causes all objects on earth to accelerate at 9.8m/s².
Force of gravity = mass x acceleration due to gravity
In this case, the force exerted on the object by gravity will be the weight of the object.
Weight is a force applied gravity on a body:
Weight of the masses = Force of gravity = mass x acceleration
Given mass = 9kg
Force of gravity = 9 x 9.8 = 88.2N approximately 88N
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Answer:
A gas giant is a huge planet made of gases primarily hydrogen and helium. These gas giant planets include Jupiter, Saturn, Uranus, and Neptune.
Explanation:
(a) Hooke's law:
F = kx
7.50 N = k (0.0300 m)
k = 250 N/m
(b) Angular frequency:
ω = √(k/m)
ω = √((250 N/m) / (0.500 kg))
ω = 22.4 rad/s
Frequency:
f = ω / (2π)
f = 3.56 cycles/s
Period:
T = 1/f
T = 0.281 s
(c) EE = ½ kx²
EE = ½ (250 N/m) (0.0500 m)²
EE = 0.313 J
(d) A = 0.0500 m
(e) vmax = Aω
vmax = (0.0500 m) (22.4 rad/s)
vmax = 1.12 m/s
amax = Aω²
amax = (0.0500 m) (22.4 rad/s)²
amax = 25.0 m/s²
(f) x = A cos(ωt)
x = (0.0500 m) cos(22.4 rad/s × 0.500 s)
x = 0.00919 m
(g) v = dx/dt = -Aω sin(ωt)
v = -(0.0500 m) (22.4 rad/s) sin(22.4 rad/s × 0.500 s)
v = -1.10 m/s
a = dv/dt = -Aω² cos(ωt)
a = -(0.0500 m) (22.4 rad/s)² cos(22.4 rad/s × 0.500 s)
a = -4.59 m/s²
