Given parameters:
Mass of the body = 200g
Force on the body = 10N
Unknown parameters:
Acceleration produced by the force = ?
To solve this problem we must first define force in terms of mass and acceleration. This is possible due to the Newton's first law of motion.
Force = mass x acceleration
Here the unknown is acceleration and we can easily solve for it.
But we must take the mass to kilogram in order for it to cancel out.
1000g = 1 kg
200g = x kg = = 0.2kg
Now input the parameters and solve;
10 = 0.2 x acceleration
Acceleration = = 50m/s²
The acceleration produced by the body is 50m/s²
The final velocity of the composite object is 6/5 m/sec.
<h3>
what is velocity?</h3>
- Velocity is the direction at which an item is moving and serves as a measure of the rate at which its location is changing as seen from a certain point of view and as measured by a specific unit of time (for example, 60 km/h northbound).
- In kinematics, the area of classical mechanics that deals with the motion of bodies, velocity is a basic idea.
- A physical vector quantity called velocity must have both a magnitude and a direction in order to be defined.
- Speed is the scalar absolute value (magnitude) of velocity; it is a coherent derived unit whose quantity is measured in metres per second (m/s or m/s1) in the SI (metric system).
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Velocity includes direction
Somewhere in your book or your notes, you must have met the formula for the
gravitational attraction between two bodies. If you can go back and find it, you
only need to plug your numbers into that formula, and out will pop the answer.
Formula: <u>Force = G (mA x mB) / (distance)²</u>
If everything is in SI units, then G = 6.67 x10⁻¹¹ newton-meter² / kilogram²
You said that
mA = 8.1 kg
mB = 6.5 kg
distance = 0.5 m .
Force = (6.67 x 10⁻¹¹ nt-m²/kg²) (8.1kg x 6.5kg / (0.5m)² =
(6.67 x 10⁻¹¹ nt-m²/kg²) ( 52.65 kg² ) / (0.25 m²) =
<em>1.4047 x 10⁻⁸ newtons .</em>
That's roughly 5.052 x 10⁻⁸ ounce . (5% of one micro-ounce)
During the ball's flight up its velocity and acceleration vectors are in opposite direction and during the ball's flight down its velocity and acceleration vectors are in same direction.
- The velocity vector is always in the direction of motion of the object. So, during the ball's flight up its velocity vector is in the upward direction (90°) and during the ball's flight down its velocity vector is in the downward direction (270°).
- When there is a positive acceleration in the object the acceleration vector is in the direction of motion of the object. When there is a negative acceleration in the object the acceleration vector is in the opposite direction of motion of the object. So, during the ball's flight up its acceleration vector is in the downward direction (270°) and during the ball's flight down its acceleration vector is in the upward direction (90°).
Velocity vector is the rate of change of position of an object. Acceleration vector is the rate of change of velocity of an object.
Therefore, during the ball's flight up its velocity and acceleration vectors are in opposite direction and during the ball's flight down its velocity and acceleration vectors are in same direction.
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