# Nathan Ashcroft

Physics teacher | Tutor for 8 years

I hold a degree in Physics from Eastern Mennonite University. With a passion for unraveling the mysteries of the universe, I thrive on sharing my knowledge with students. From classical mechanics to quantum theory, I offer clear explanations and engaging lessons to foster deep understanding. Let's explore the wonders of physics together, tackling questions across various subjects.

## Questions

What is the average speed of an object that is still at #t=0# and accelerates at a rate of #a(t) =t/6# from #t in [0, 1]#?

How can I calculate the specific heat capacity of a metal?

What torque would have to be applied to a rod with a length of #5 m# and a mass of #2 kg# to change its horizontal spin by a frequency of #9 Hz# over #6 s#?

A spring with a constant of #2 (kg)/(s^2)# is lying on the ground with one end attached to a wall. An object with a mass of #4 kg # and speed of # 3 m/s# collides with and compresses the spring until it stops moving. How much will the spring compress?

A box with an initial speed of #8 m/s# is moving up a ramp. The ramp has a kinetic friction coefficient of #7/5 # and an incline of #(5 pi )/12 #. How far along the ramp will the box go?

If a projectile is shot at an angle of #pi/4# and at a velocity of #16 m/s#, when will it reach its maximum height??

What is the dot product of #<5,-3,6 ># and #<-8,2,-9 >#?

How does friction affect simple harmonic motion?

An object with a mass of #60 g# is dropped into #900 mL# of water at #0^@C#. If the object cools by #40 ^@C# and the water warms by #16 ^@C#, what is the specific heat of the material that the object is made of?

If a spring has a constant of #4 (kg)/s^2#, how much work will it take to extend the spring by #87 cm #?

A container with a volume of #5 L# contains a gas with a temperature of #400^o K#. If the temperature of the gas changes to #250^o K# without any change in pressure, what must the container's new volume be?

How do you normalize #( i - 2 j + 3 k )#?

If #9/4 L# of a gas at room temperature exerts a pressure of #15 kPa# on its container, what pressure will the gas exert if the container's volume changes to #7/3 L#?

An object with a mass of #100 g# is dropped into #500 mL# of water at #0^@C#. If the object cools by #50 ^@C# and the water warms by #4 ^@C#, what is the specific heat of the material that the object is made of?

A projectile is shot from the ground at an angle of #pi/6 # and a speed of #7 /9 m/s#. Factoring in both horizontal and vertical movement, what will the projectile's distance from the starting point be when it reaches its maximum height?

A box with an initial speed of #12 m/s# is moving up a ramp. The ramp has a kinetic friction coefficient of #8/7 # and an incline of #( pi )/4 #. How far along the ramp will the box go?

A spring with a constant of #12 (kg)/s^2# is lying on the ground with one end attached to a wall. An object with a mass of #6 kg# and speed of #4 m/s# collides with and compresses the spring until it stops moving. How much will the spring compress?

Which of Newton's laws states that an object with no net force will remain in rest or in constant velocity?

How much work would it take to push a # 8 kg # weight up a # 5 m # plane that is at an incline of # pi / 4 #?

What is the law of conservation of momentum?