A 0.5-kg rock is thrown with a velocity of 6 meters per second from a height...

A 0.5-kg rock is thrown with a velocity of 6 meters per second from a height of 10 meters. What is the total energy? (Use g=10 m/s2. The answer will be in joules, but you DO NOT NEED to write the units

Solutions

Expert Solution

Given, mass of rock (m)= 0.5 kg

initial velocity(u) =6m

height (h)= 10m

As the ball is given initial velocity, it must have kinetic energy and since it has been dropped from certain height, it must have potential energy. Hence,

total energy= kinetic energy + potential energy

=1/2 mv2 + mgh

= 1/2 0.566 + 0.5 10 10

= 9+50

=59 J

please up vote.. thank you.

genius_generous answered 10 months ago

Next > < Previous

Related Solutions

The height of a rock thrown upwards on the planet Mars with an initial velocity of...

The height of a rock thrown upwards on the planet Mars with an initial velocity of 60 m/s is 2 approximated by h(?) = 60? − 1.86? . Fill in the average velocity over each time intervals shown in the table. Show all work for each calculation. Then approximate the instantaneous velocity of the rock after 10 seconds using the table of values.(?h?? ??? ???? ???? ???h ???????????; ?? ??? ????? ??? ???????. ) time interval [9.9, 10] [9.99, 10]...

If a projectile is fired with an initial velocity v0 meters per second at an angle...

If a projectile is fired with an initial velocity v0 meters per second at an angle α above the horizontal and air resistance is assumed to be negligible, then its position after t seconds is given by the parametric equations x=(v0 cos α)t & y=(v0 sin α) t-1/2gt2 Suppose α=30o and v0=500 m/s (a) At what time t does the projectile hit the ground? (b) How far does the projectile travel from the time it is fired until the time...

The trajectory of a rock thrown from a height with an initial speed of 19.7 m/s...

The trajectory of a rock thrown from a height with an initial speed of 19.7 m/s is shown in the figure below. Evaluate the magnitude of the gravitational field at the surface of the planet. The planet has no atmosphere.

A rock is thrown at a window that is located at a height h = 36.33...

A rock is thrown at a window that is located at a height h = 36.33 m above the ground. The rock is thrown at an angle of θ above horizontal. The rock is thrown at time 0 seconds from a height of hi = 2.00 m above the ground with an initial speed of v0 and experiences no appreciable air resistance. After t = 2.0 seconds, let the velocity of the rock be v =(15.00 i + 6.38 j...

A ball is thrown vertically upward from a height of 5 ft with an initial velocity...

A ball is thrown vertically upward from a height of 5 ft with an initial velocity of 40 feet per second. Note that the acceleration of the ball is given by a(t) = −32 m/s2. How high will the ball go? When does the ball hit the ground? What is the velocity of the ball when it hits the ground?

An object is thrown vertically upward with an initial velocity of 10 m/sec from a height...

An object is thrown vertically upward with an initial velocity of 10 m/sec from a height of 3 meters. In meters, find the highest point it reaches. (Round your answer to three decimal places, in m) Find when it hits the ground. (Enter your answer in seconds. Round your answer to three decimal places in seconds)

A rock is thrown into the air with an initial velocity of 40 m/s and 60...

A rock is thrown into the air with an initial velocity of 40 m/s and 60 degrees above the horizontal. (a) What is the time when the velocity makes 45 degrees above the horizontal? (b) What is the time when the velocity makes 45 degrees below the horizontal? (c) Does it exist when the velocity makes zero degrees with the horizontal? If yes, when? (d) Does it exist when the velocity makes 90 (or -90) degrees with the horizontal? If...

A rock is thrown with an initial velocity of 30 m/s at an angle of 60°...

A rock is thrown with an initial velocity of 30 m/s at an angle of 60° above the horizontal from a height of 1.5 m toward a cliff. After 4 seconds, the rock lands on the top edge of the cliff. (a) Calculate the height of the cliff. (b) Calculate the maximum height reached by the rock along its trajectory (c) Determine the speed of the rock just before hitting the cliff.

A rock is thrown upward from a bridge that is 83 feet above a road. The rock reaches its maximum height above the road 0.61 seconds after it is thrown and contacts the road 3.87 seconds after it was thrown.

A rock is thrown upward from a bridge that is 83 feet above a road. The rock reaches its maximum height above the road 0.61 seconds after it is thrown and contacts the road 3.87 seconds after it was thrown. Write a function f that determines the rock's height above the road (in feet) in terms of the number of seconds tt since the rock was thrown. THE FUNCTION MUST BE IN THE FORMAT f(t)=c⋅(t−t_1)(t−t_2) for fixed numbers c,...

1. A stone is thrown upward from a tower with initial velocity of 3 m/s. Height...

1. A stone is thrown upward from a tower with initial velocity of 3 m/s. Height of tower is 50 m above the ground. What would be its position after 3.4 secs? What would be its speed after 3.4 secs? What would its velocity be when it hits the ground? 2. Duterte throws a ball upward at 15 m/s while standing on the edge of a building so that the ball can fall to the base of the building 50...

Subjects