Answer:
792 J
Explanation:
The total energy of the ball is E = U + K where U = potential energy = mgh and K = kinetic energy = 1/2mv²
E = mgh + 1/2mv² where m = mass of ball = 2.0 kg, g = acceleration due to gravity = 9.8 m/s², h = height of building = 20.0 m, v = initial velocity of ball = 20.0 m/s.
So, substituting the values of the variables into E, we have
E = mgh + 1/2mv²
= 2.00 kg × 9.8 m/s² × 20.0 m + 1/2 × 2.00 kg × (20.0 m/s)²
= 392 J + 400 J
= 792 J
Answer:
3. 0.5 sec.
Explanation:
A bullet fired horizontally follows a projectile motion, which consists of two independent motions:
- A horizontal motion with constant speed
- A vertical motion with constant acceleration, g = 9.8 m/s^2, towards the ground
The time taken for the bullet to reach the ground can be calculated just by considering the vertical motion:

where y is the vertical position at time t, h is the initial height, and
is the initial vertical velocity of the bullet.
Since the bullet is fired horizontally,
. So the equation becomes

And the time that the bullet takes to reach the ground can be found by requiring y=0 and solving for t:

As we can see, in this equation there is no dependance on the initial speed of the bullet: therefore, if the bullet is fired still horizontally but with a different speed, it will still take the same time (0.5 s) to reach the ground.
This doesn’t make any sense
Answer:
s = 3.84 x 10⁸ m
Explanation:
The distance traveled by an object, while in uniform motion, is given by the following equation:
s = vt
where,
s = distance covered
v = speed
t = time interval
In this case:
s = distance between Moon and Earth = ?
v = speed of radio waves = 3 x 10⁸ m/s
t = time taken to travel = 1.28 s
Therefore,
s = (3 x 10⁸ m/s)(1.28 s)
<u>s = 3.84 x 10⁸ m</u>
Answer:
13m & 17m.
Explanation:
Displacement - Shortest distance between the initial and final point. Here ,
=> Displacement = √ ( 12² + 5² )
=> Displacement = √ 144 + 25
=> Displacement = √ 169
=> Displacement = 13 m
Distance - Total path length covered by the body .
=> Distance = 12m + 5m
=> Distance = 17m