Newton's Laws of Motion

During a 10-second time interval, Gritty (who is dressed as a mermaid) descends from a height of 45 m to 20 m above the ice at a constant 2.50 m/s. Sketch the FBD for Gritty when he is 30 m above the ice if we know Gritty to have a mass of 110 kg).

Slide Deck

Yes! Ham Goes Up an Escalator!

Draw a FBD for the ham

Floating Down the River on a Piece of Ice

Draw a FBD for the person

Just a cow sliding down a hill

A 700 kg cow enjoys a nice slide down an 18° snowy hill, speeding up from 0.5 m/s to 2.5 m/s during a 4.0-second time interval. Find the coefficient of kinetic friction between the cow and the surface of the hill.

Slide Deck

F-35C Lightning II

A non-flyable F-35C Lightning II airframe is flown as part of the new CH-53K King Stallion external load certification lift Dec. 13, 2022, at Naval Air Station Patuxent River, Md.

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Gators on an Incline

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Trap-Jaw Ants

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Truck Sliding Down Snowy Incline After Hitting Gas

As you see in the video, Mr. Scott's truck is initially stationary on a snowy incline. When he presses on the gas pedal, the truck begins to go down the incline. Offer a physics-based explanation for this phenomenon.

Sloths in a Bucket

The arms each exert a 80 N force directed 65° above the horizontal. The mass of the bucket is 1 kg. Each sloth is 1.5 kg on average. Find the number of sloths in the bucket.

Slippery Squirrel

A squirrel kept dining at my bird feeder so, naturally, I greased the pole.

Draw a free-body diagram for the instant(s) Mr. Almeida indicates.

Nightwing

Shown is a stroboscopic photo depicting the motion of a rider on Six Flags New England’s Nightwing. If the rider, attached to the exclosure (total mass of 80 kg) experiences an upward acceleration of 45 m/s2 at the instant shown below,

(a) determine the magnitude of the net force on the rider-enclosure system

(b) draw the FBD & FAD for this system, and

(c) find the tension in the cables.

Slide deck

Catfishing

A 4.25 kg cat hops into a 2.0 kg bucket. The cat and buckets are then hoisted upward, at one point being accelerated upwards at 0.4 m/s². Draw a free body diagram for the cat-bucket system and the find the magnitude of the individual forces acting on it.

Connected Objects Cat Tension

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Pupper on a Sled

A 24-kg dog slides from rest down a 20° incline. After sliding through a distance of 8 meters, he reaches a speed of 7.00 m/s. Friction, though small, is too large to be negligible. Assume the inclination is constant through the 8 meter distance.

(a) Determine the pupper’s acceleration.

(b) Draw a FBD and FAD for the pupper-sled system.

(c) Determine the magnitude of the friction force on the sled by the snowy incline.

(d) Determine the coefficient of kinetic friction between the sled and the snowy incline.

Best Slide Ever

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Water Rocket Landing

A 1.5 kg rocket lands on a neighborhood street.

(a) Sketch a motion diagram for the situation.

(b) Sketch a position-time (𝑦−𝑡) graph for the rocket during this time.

(c) Sketch a velocity-time (𝑣_𝑦−𝑡) graph for the rocket during this time.

Given that at the beginning of the 3.125-second time interval leading up to the landing, the water rocket was descending at 10 m/s,

(d) Find the magnitude of the (constant) net force acting on the rocket during this time.

(e) Draw a FBD for the rocket.

(f) Find the magnitude of all the individual forces acting on the rocket

Good Boy Found Out the Deck Is Covered In Ice

Find the coefficient of kinetic friction between the 35 kg dog and the icy deck surface.

Basketball Player Slides 30 feet

An 88-kg basketball player slides 30 feet before coming to a stop. If the coefficient of kinetic friction between the player and the floor is 0.32, find the

(a) initial speed when he first started sliding, and

(b) the time it took him to come to a stop

Gerald the Cat

Mr. Almeida is trying to walk his cat Gerald (5.0 kg) but Gerald isn't into it so soon thereafter Mr. Almeida finds himself dragging Gerald at a constant 0.35 m/s while the leash makes an angle of 53° above the horizontal. Draw the FBD and find the magnitudes of all the forces if the tension in the leash is 27.5 N. Find the coefficient of kinetic friction between Gerald and the grass.

Gerald the Cat

Boxer Pushing on a Block of Ice

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NASA Probe

The NASA Perseverance rover has a mass of 1025 kg and is gently lowered to the surface of Mars at a constant rate of 12.0 m/s by three cables which are located symmetrically so that they each make an angle of 10° from the vertical. Find the tension in each cable.

Plane Pulling a Skater

An airplane pulls an 80 kg skater along the ice (of negligible friction) in a straight line as shown in the image via a rope that pulls on the skater with a constant force of 400 N. The rope makes an angle of 25° above the horizontal. In a given 2.0-second interval, the skater’s speed increases from 2.5 m/s to 9.5 m/s.

(a) Sketch a clear free-body diagram (FBD) and force addition diagram (FAD) for the skater.

(b) Find the magnitude of each of the individual forces acting on the skater.