In order to increase the amount of exercise in her daily routine, Tara decides to walk up the four flights of stairs to her car instead of taking the elevator. Each of the steps she takes are 18.0 cm high, and there are 12 steps per flight. (a) If Tara has a mass of 77.0 kg, what is the change in the gravitational potential energy of the Tara-Earth system (in J) when she reaches her car? ] (b) If the human body burns 1.5 Calories (6.28 x 10³ J) for each ten steps climbed, how much energy (in J) has Tara burned during her climb? ] (c) How does the energy she burned compare to the change in the gravitational potential energy of the system? Eburned Δυ

A 4.40 kg steel ball is dropped onto a copper plate from a height of 10.0 m. If the ball leaves a dent 2.75 mm deep, what is the average force exerted by the plate on the ball during the impact? N

A block of mass m = 7.00 kg is released from rest from point and slides on the frictionless track shown in the figure below. (Assume h₂ = 7.80 m.) a m ha 3.20 m 2.00 m i (a) Determine the block's speed at points ® and point B ©. m/s m/s point (b) Determine the net work done by the gravitational force on the block as it moves from point J A to point

A 1.10 x 10²-g particle is released from rest at point A on the inside of a smooth hemispherical bowl of radius R R B 2R/3 (a) Calculate its gravitational potential energy at A relative to B. ] (b) Calculate its kinetic energy at B. ] (c) Calculate its speed at B. m/s (d) Calculate its potential energy at C relative to B. J (e) Calculate its kinetic energy at C. ] = 26.5 cm (figure below).

Report on the percentage errors (with uncertainty) between the value of 'k' from the F vs displacement plot and each of the values of 'k' from the period measurements. Please comment on the goodness of the results.   Value of k = Spring constant k = 50.00 N/m Each of the values of k from period measurements:  Six Measurements of time for 5 osccilations: t1 = 7.76s, t2=8.00s, t3=7.40s, t4=7.00s, t5=6.90s, t6=7.10s (t1-tavg)^2 = (7.76-7.36)^2 = 0.16%(t2-tavg)^2 =(8.00-7.36)^2 = 0.4096%(t3-tavg)^2 =(7.40-7.36)^2 = 0.0016%(t4-tavg)^2 =(7.00-7.36)^2 = 0.1296%(t5-tavg)^2 =(6.90-7.36)^2 = 0.2116%(t6-tavg)^2 =(7.10-7.36)^2 = 0.0676

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Based on the two periods (from hand timed and ultrasonic sensor), find the value of 'k' they suggest from the physics and from the value of the hanging mass. hand time period is 1.472s and ultrasonic sensor time period is 1.44s

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Experimental Research Report Template Title: Paper Airplane Flight. Materials: Paper, ruler, tape Procedure: Fold paper into different airplane designs, such as dart, glider, or classic. Measure and record the distances each design flies when thrown with the same force. Discuss aerodynamics and the factors that affect flight distance.       Introduction: (What do you expect to learn? What is the purpose of this lab? List any questions this experiment will answer.)       Hypothesis: (Predict the outcome(s) of the experiment, must be in an “if…then format.)           Materials: (What equipment and materials did you need for this experiment assignment? Describe how any equipment was connected. Also mention any special hardware or connections. List the name and amount of each item used.)             Procedures: (What steps did you take to accomplish this lab assignment? Include Safety Precautions.)                       Data Collection: (Record the data that is required at each step of the…