Explanation:
I'm not sure, but I would go for the more than A since its orbital speed is at its fastest and the sweep occurs in about the same period of days.
We know the formulas for momentum and energy. But they both involve the mass of
the object, and we don't know the mass of the baseball. What can we do ?
It's not a catastrophe. The question only asks which one is bigger. If we're clever,
we can answer that without ever knowing how much the momentum or the energy
actually is. We know that both baseballs have the same mass, so let's just call it
' M ' and not worry about what it really is.
<u>Momentum of anything = (mass) x (speed)</u>
Momentum of the first baseball = (M) x (4 m/s) = 4M
Momentum of the second one = (M) x (16 m/s) = 16M
The second baseball has 4 times as much momentum as the first one has.
<u>Kinetic energy of anything = 1/2 (mass) x (speed squared)</u>
KE of the first baseball = 1/2 (M) x (4 squared) = 8M
KE of the second one = 1/2 (M) x (16 squared) = 128M
The second baseball has 16 times as much kinetic energy as the first one has.
Answer:
the maximum vertical height the person in the cart can reach is 18.42 m
Explanation:
Given;
mass of the person in cart, m₁ = 45 kg
mass of the cart, m₂ = 43 kg
acceleration due to gravity, g = 9.8 m/s²
final speed of the cart before it goes up the hill, v = 19 m/s
Apply the principle of conservation of energy;

Therefore, the maximum vertical height the person in the cart can reach is 18.42 m
Answer:
(C) Work=9.8×10⁴J
Explanation:
Given data
mass m=1000 kg
building height=10 m
To
Find work
Solution
As we know that:

So option (C) is correct one
Answer:
The resultant vector has a magnitude of 4998 m and a direction of 45.7°.
Explanation:
The x component of the resultant vector is the sum of the x components of each individual vector.
x = 3250 cos 38.4 + 1822 cos 58.8
x = 3490.8
Similarly, the y component of the resultant vector is the sum of the y components of each individual vector.
y = 3250 sin 38.4 + 1822 sin 58.8
y = 3577.2
The magnitude can be found with Pythagorean theorem:
√(x² + y²)
√(3490.8² + 3577.2²)
4998
The direction can be found with trigonometry:
atan(y / x)
atan(3577.2 / 3490.8)
45.7°
The resultant vector has a magnitude of 4998 m and a direction of 45.7°.