The force of gravity between two objects is given by:

where
G is the gravitational constant
m1 and m2 are the masses of the two objects
r is their separation
In this problem, the mass of the object is

, while the Earth's mass is

. Their separation is

, therefore the gravitational force exerted on the object is
Faster and higher I believe.
Answer:
option B
Explanation:
given,
height of building = 0.1 km
ball strikes horizontally to ground at = 65 m
speed at which the ball strike = ?
vertical velocity = 0 m/s
time at which the ball strike



t = 4.53 s
vertical velocity at the time 4.53 s = g × t = 9.8 × 4.53 = 44.39 m/s
horizontal velocity =
=14.35 m/s
speed of the ball =
= 46.65 m/s
hence, the speed of the ball just before it strike the ground = 47 m/s
The correct answer is option B
1) At the moment of being at the top, the piston will not only tend to push the penny up but will also descend at a faster rate at which the penny can reach in 'free fall', in that short distance. Therefore, at the highest point, the penny will lose contact with the piston. Therefore the correct answer is C.
2) To solve this problem we will apply the equations related to the simple harmonic movement, hence we have that the acceleration can be defined as

Where,
a = Acceleration
A = Amplitude
= Angular velocity
From a reference system in which the downward acceleration is negative due to the force of gravity we will have to



From the definition of frequency and angular velocity we have to




Therefore the maximum frequency for which the penny just barely remains in place for the full cycle is 2.5Hz
The mass of a particle is 2.2x10⁻¹⁵ kg
Consider smoke particles as an ideal gas
The translational RMS speed of the smoke particles is 2.45x10⁻³ m/s.
<em>v= √3kT/m</em>
<em>where k= 1.38x10⁻²³J/K, T is 288K, and m is the mass of the smoke particle</em>
<em>2.45x10⁻³ = √3x1.38x10⁻²³x288/m</em>
<em>m= 2.2x10⁻¹⁵ kg</em>
Therefore, the mass of a particle is 2.2x10⁻¹⁵ kg.
To learn more about the translational root mean square speed of gases, visit brainly.com/question/6853705
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