Weight = (mass) x (gravity).
It always acts downward.
On Earth, the acceleration of gravity is 9.807 m/s².
On the Moon, the acceleration of gravity is 1.623 m/s².
On Earth, the rocket's weight is (0.8kg) x (9.8 m/s²) = 7.84 newtons
On the Moon, the rocket's weight is (0.8kg) x (1.62 m/s²) = 1.3 newtons
The force of the rocket engine acts upward.
Its magnitude is 12 newtons. (From the burning chemicals.
Doesn't depend on local gravity. Same force everywhere.)
Now we have all the data we need to mash together and calculate the
answers to the question. You might choose a different method, but the
machine that I have selected to do the mashing with is Newton's 2nd law
of motion:
Net Force = (mass) x (acceleration).
Since the question is asking for acceleration, let's first solve Newton's law
for it. Divide each side by (mass) and we have
Acceleration = (net force) / (mass) .
On Earth, the forces on the rocket are
(weight of 7.84 N down) + (blast of 12 N up) = 4.16 newtons UP (net)
Acceleration = (4.16 newtons UP) / (0.8 kg) = 5.2 m/s² UP .
On the moon, the forces on the rocket are
(weight of 1.3 N down) + (blast of 12 N up) = 10.7 newtons UP (net)
Acceleration = (10.7 newtons UP) / (0.8 kg) = 13.375 m/s² UP
Answer:
(A). The magnitude of the momentum of the marble is 0.004745 kg m/s.
(B). The speed of baseball is 23.0 m/s
Explanation:
Given that,
Mass of marble = 0.0073 kg
Speed = 0.65 m/s
(A). We need to calculate the magnitude of the momentum of the marble
Using formula of momentum

Where, m = mass
v = velocity
Put the value into the formula


(B). Mass of baseball = 0.136 kg
Momentum of baseball = 3.14 kg m/s
We need to calculate the speed of baseball
Using formula of momentum


Put the value into the formula


Hence, (A). The magnitude of the momentum of the marble is 0.004745 kg m/s.
(B). The speed of baseball is 23.0 m/s
Answer:
20 m
Explanation:
We'll begin by calculating the kinetic energy of the mass. This can be obtained as follow:
Mass (m) = 10 kg
Velocity (v) = 20 m/s
Kinetic energy (KE) =?
KE = ½mv²
KE = ½ × 10 × 20²
KE = 5 × 400
KE = 2000 J
Finally, we shall the height to which the mass must be located in order to have potential energy that is the same as the kinetic energy. This can be obtained as follow:
Mass (m) = 10 kg
Acceleration due to gravity (g) = 10 m/s²
Potential energy (PE) = Kinetic energy (KE) = 2000 J
Height (h) =..?
PE = mgh
2000 = 10 × 10 × h
2000 = 100 × h
Divide both side by 100
h = 2000 / 100
h = 20 m
Thus, the object must be located at a height of 20 m in order to have potential energy that is the same as the kinetic energy.
Answer:
The value is
Explanation:
From the question we are told that
The radius of curvature is
Generally the radius of curvature is mathematically represented as

Here
is the focal length hence

=>
=>
A Cat is a secondary source