________ is a force acting through distance.

A pitcher claims he can throw a 0.146-kg baseball with as much momentum as a 2.70-g bullet moving with a speed of 1.50 ✕ 103 m/s

Nataly_w [17]

(a) The pitcher must throw the ball at 27.7 m/s

The momentum of an object is given by:

$p=mv$

where

m is the mass of the object

v is the object's velocity

Let's calculate the momentum of the bullet, which has a mass of

m = 2.70 g = 0.0027 kg

and a velocity of

$v=1.50\cdot 10^3 m/s$

Its momentum is:

$p=mv=(0.0027 kg)(1.50\cdot 10^{3} m/s)=4.05 kg m/s$

The pitcher must throw the baseball with this same momentum. The mass of the ball is

m = 0.146 kg

So the velocity of the ball must be

$v=\frac{p}{m}=\frac{4.05 kg m/s}{0.146 kg}=27.7 m/s$

So, the pitcher must throw the ball at 27.7 m/s.

(b) a. The bullet has greater kinetic energy

The kinetic energy of an object is given by

$K=\frac{1}{2}mv^2$

where m is the mass of the object and v is its speed.

For the bullet, we have:

$K=\frac{1}{2}(0.0027 kg)(1.50\cdot 10^3 m/s)^2=3037.5 J$

For the ball:

$K=\frac{1}{2}(0.146 kg)(27.7 m/s)^2=56.0 J$

So, the bullet has greater kinetic energy.

6 0

3 years ago

A grasshopper can jump a maximum horizontal distance of 40cm. If it spends negligible time on the ground then in this case its s

Makovka662 [10]

Considering that the grasshopper starts on the ground and lands on the ground, there is no change in elevation. The range of the grasshopper is given by: R=v2sin2θg If we now take the information that this is a maximal distance, the maximum range is given when the angle of launch is 45 degrees. This yields the equation: Rmax=v2g We know R_max=0.4 m and g=9.8 m/s^2, so we can solve for v: v=1.98m/s We are asked for the horizontal component, which by trigonometry is: vx=vcosθ We again take our angle of launch as 45 degrees and arrive at: vx=1.40m/s

7 0

3 years ago

Unlike other kinds of liquids, volatile liquids

Evgesh-ka [11]

A
(Volatile liquids, liquids with a high vapor pressure or low boiling point)

8 0

4 years ago

Which statement describes a physical property related to the particles that make up a material? A. Gold ions in a piece of jewel

ohaa [14]

Answer: Metallic bonds between tin ions cause a sheet of tin to be malleable

Explanation:

4 0

3 years ago

Read 2 more answers

HELP WKDUXHWOSUSG PLSSSS

dmitriy555 [2]

Hi!

givens: initial velocity = 0 m/s

time = 8.5 s

acceleration = 10 m/s^2

Unknown: displacement, velocity final

Equation:

Displacement = 1/2 (at^2) + viT

SS:

Displacement = 1/2 (10 * 8.5^2) + 0

Displacement = 361.25 m in a positive direction.

My math might be a little off, but I'm not sure...

But yeah! Hope this helped :)

8 0

3 years ago