Answer:
![\boxed {\boxed {\sf 29.4 \ J}}](https://img.qammunity.org/2022/formulas/physics/college/u618s3skqp6evsex04s0ybfmuarp63fz61.png)
Step-by-step explanation:
Potential energy is the energy an object possesses due to its position. It is calculated using the following formula:
![PE=mgh](https://img.qammunity.org/2022/formulas/physics/college/dlr623hziegqgt423avts21mhh0g9u1vsc.png)
The mass of the hammer is 1.5 kilograms and its height is 2 meters. Assuming this is on Earth, the acceleration due to gravity is 9.8 meters per second squared.
- m= 1.5 kg
- g= 9.8 m/s²
- h= 2 m
Substitute these values into the formula.
![PE= (1.5 \ kg)(9.8 \ m/s^2)(2 \ m)](https://img.qammunity.org/2022/formulas/physics/college/5snrbv4l7az5jc9j0qy6my6nzikhemeohz.png)
Multiply the numbers together.
![PE=(14.7 \ kg *m/s^2)(2 \ m)](https://img.qammunity.org/2022/formulas/physics/college/6xezye3sv7utk97g9r5nvupybyecbvhk5r.png)
![PE=29.4 \ kg*m^2/s^2](https://img.qammunity.org/2022/formulas/physics/college/myyq0031s02gwv6flsbmvm4wek973e4lf7.png)
Convert the units. 1 kilogram meter squared per second squared is equal to 1 Joule. Our answer of 29.4 kg*m²/s² is equal to 29.4 J.
![PE= 29.4 \ J](https://img.qammunity.org/2022/formulas/physics/college/3o3ahf0pl0e5bcuwssj4iph394rc4yjqfb.png)
The potential energy of the hammer is 29.4 Joules.