The ball has a mass of 0.36 kg and is 2.9 m from a planet's surface.If the ball has 55 J of GPE, what is the gravitational field strength of this planet?_____ N/kgGive your answer to 2 significant figures.
Question
The ball has a mass of 0.36 kg and is 2.9 m from a planet's surface.If the ball has 55 J of GPE, what is the gravitational field strength of this planet?_____ N/kgGive your answer to 2 significant figures.
Solution
The formula for gravitational potential energy (GPE) is:
GPE = mgh
where: m = mass (in kg) g = gravitational field strength (in N/kg) h = height (in m)
We can rearrange this formula to solve for g:
g = GPE / (m * h)
Substituting the given values:
g = 55 J / (0.36 kg * 2.9 m)
g = 52.63 N/kg
Rounded to two significant figures, the gravitational field strength of the planet is 53 N/kg.
Similar Questions
In its current position, the ball has 0.38 J of gravitational potential energy. The gravitational field strength on Earth is 9.8 m/s2.What is the ball's current height if its mass is 0.042 kg?______mGive your answer to 2 significant figures.
A spacecraft carries a probe to Mars where the gravitational field strength is 3.7 N / kg. The weight of the probe on Mars is 370 N.The gravitational field strength on Earth is 9.8 N / kg.What are the mass and the weight of the probe on Earth?
An object of mass 0.50 kg is transported to the surface of Planet X where the object's weight is measured to be 10 N. The radius of the planet is 4.0 × 106 m. What is the mass of Planet X? (G = 6.67 × 10−11 N × m2/kg2)Select one:a.13 × 1019 kgb.4.8 × 1024 kgc.9.6 × 1024 kgd.17 × 1022 kg
On the Earth's surface, the gravitational field strength is 9.8 N/kg. Calculate the weight of a 3 kg watermelon lying on the ground.3.0 N3 kg3.3 N9.8 N29.4 N
The gravitational field strength of Venus at its surface is 8.8 N/kg. Identify the weight of a 2 kg brick on Venus.4.4 kg4.4 N8.8 N17.6 N17.6 kgI'm not sure
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.